<h2>Problem 179</h2>
<div style="color:#666;font-size:80%;">26 January 2008</div><br />
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<p>Find the number of integers 1 <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> n <img src='images/symbol_lt.gif' width='10' height='10' alt='&lt;' border='0' style='vertical-align:middle;' /> 10<img src="" style="display:none;" alt="^(" /><sup>7</sup><img src="" style="display:none;" alt=")" />, for which <var>n</var> and <var>n</var> + 1 have the same number of positive divisors. For example, 14 has the positive divisors 1, 2, 7, 14 while 15 has 1, 3, 5, 15.</p>
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